14116096512 has 480 divisors, whose sum is σ = 50659614720. Its totient is φ = 3692666880.

The previous prime is 14116096487. The next prime is 14116096529. The reversal of 14116096512 is 21569061141.

14116096512 is a `hidden beast` number, since 1 + 41 + 1 + 609 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×14116096512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18998413 + ... + 18999155.

It is an arithmetic number, because the mean of its divisors is an integer number (105540864).

Almost surely, 2^14116096512 is an apocalyptic number.

14116096512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14116096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25329807360).

14116096512 is an abundant number, since it is smaller than the sum of its proper divisors (36543518208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14116096512 is a wasteful number, since it uses less digits than its factorization.

14116096512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14116096512 in words is "fourteen billion, one hundred sixteen million, ninety-six thousand, five hundred twelve".